Question

2x - 3y = 16

Answer 1

Answer:

B) (5,-2)

Step-by-step explanation:

we have the equations:

$2x - 3y = 16\\3x + 2y = 11$

We multiply the first equation by 3:

$3(2x-3y=16)\\6x-9y=48$

i will call this equation 1.

and we multiply the second equation by 2:

$2(3x+2y=11)\\6x+4y=22$

i will call this equation 2.

Now we subtract equation 2 from equation 1:

$6x-9y=48\\-(6x+4y=22)$

this is:

$6x-9y=48\\-6x-4y=-22$

which gives:

$6x-9y-6x-4y=48-22\\-13y=26\\y=-2$

and now that we know that $y=-2$ we substitute this value in any of the original equations to find $x$

using $2x - 3y = 16$

we have:

$2x - 3(-2) = 16\\2x+6=16\\2x=16-6\\2x=10\\x=5$

so $x=5$

the answer is $(5, -2)$ which is option B.

Answer 2

1st eq: 2x -3y =16

2nd eq: 3x +2y = 11

2(5) -3(-2) = 10+6 =16

3(5) +2(-2) = 15-4 = 11

 answer is B